Statically Indeterminate Structuresmi@se.eol.cn
Statically Indeterminate Structures mi@seu.edu.cn
Contents·StaticallyDeterminateProblems（静定问题）·StaticallyIndeterminateProblems（超静定问题）·DegreesofIndeterminacy（超静定次数）: Advantages & Disadvantages of Indeterminate Structures（超静定结构的优缺点）·Redundancy&BasicDeterminateSystem（余约束与基本静定系）: General Ideas for Analyzing Indeterminate Structures（超静定问题一般解法）2
• Statically Determinate Problems（静定问题） • Statically Indeterminate Problems（超静定问题） • Degrees of Indeterminacy（超静定次数） • Advantages & Disadvantages of Indeterminate Structures （超静定结构的优缺点） • Redundancy & Basic Determinate System（冗余约束与 基本静定系） • General Ideas for Analyzing Indeterminate Structures （超静定问题一般解法） Contents 2
Contents·Force Method Solution Procedure （力 法）·StaticallyIndeterminateBars（超静定拉压杆）·AssemblyStress（装配应力）·Thermo Stress（热应力）·StaticallyIndeterminateShafts（超静定扭转轴）·StaticallyIndeterminateBeams（超静定弯曲梁）· Moment-Area Theorems with Indeterminate Beams （图 乘法求解超静定梁）·CombinedIndeterminateStructures（组合超静定结构）3
• Force Method Solution Procedure（力法） • Statically Indeterminate Bars（超静定拉压杆） • Assembly Stress（装配应力） • Thermo Stress（热应力） • Statically Indeterminate Shafts（超静定扭转轴） • Statically Indeterminate Beams（超静定弯曲梁） • Moment-Area Theorems with Indeterminate Beams（图乘 法求解超静定梁） • Combined Indeterminate Structures （组合超静定结构） Contents 3
Statically Determinate Problems: Problems can be completely solved via static equilibrium: Number of unknowns (forces/moments) = number ofindependent equations from static equilibrationxF07F2xAxFF=?=0AyyF=?M=0B1P4
• Problems can be completely solved via static equilibrium • Number of unknowns (forces/moments) = number of independent equations from static equilibration 0 ? 0 ? 0 ? x Ax y Ay A By F F F F M F Statically Determinate Problems 4 A B
Statically Indeterminate Problems: Problems cannot be solved from static equilibrium alone: Number of unknowns (forces/moments) ≥> number ofindependent equations from static equilibrationCLxF2F0F=?XAyF.= 0AR?yKC=?M>=02Fcy5
A B C • Problems cannot be solved from static equilibrium alone • Number of unknowns (forces/moments) > number of independent equations from static equilibration ? 0 ? 0 ? 0 ? ? Ax x Ay y By A Cx Cy F F F F F M F F Statically Indeterminate Problems 5